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1071225 = 3452232
BaseRepresentation
bin100000101100001111001
32000102110000
410011201321
5233234400
634543213
712051051
oct4054171
92012400
101071225
11671911
12437b09
132b677c
141dc561
15162600
hex105879

1071225 has 45 divisors (see below), whose sum is σ = 2074303. Its totient is φ = 546480.

The previous prime is 1071223. The next prime is 1071227. The reversal of 1071225 is 5221701.

1071225 = 13 + 23 + ... + 453.

The square root of 1071225 is 1035.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1071223) and next prime (1071227).

It can be written as a sum of positive squares in only one way, i.e., 385641 + 685584 = 621^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1071225 - 21 = 1071223 is a prime.

It is a super-2 number, since 2×10712252 = 2295046001250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1071198 and 1071207.

It is not an unprimeable number, because it can be changed into a prime (1071223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46564 + ... + 46586.

21071225 is an apocalyptic number.

1071225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1071225 is the 1035-th square number.

1071225 is the 518-th centered octagonal number.

It is an amenable number.

1071225 is a deficient number, since it is larger than the sum of its proper divisors (1003078).

1071225 is an equidigital number, since it uses as much as digits as its factorization.

1071225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The cubic root of 1071225 is about 102.3199297262.

Adding to 1071225 its reverse (5221701), we get a palindrome (6292926).

It can be divided in two parts, 1071 and 225, that added together give a 4-th power (1296 = 64).

The spelling of 1071225 in words is "one million, seventy-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 345 405 529 575 621 675 1035 1587 1725 1863 2025 2645 3105 4761 5175 7935 9315 13225 14283 15525 23805 39675 42849 46575 71415 119025 214245 357075 1071225